Relativistic energy levels, lifetimes, and transition probabilities for the sodium-like to argon-like sequences

Fischer, Charlotte Froese; Tachiev, Georgio; Irimia, Andrei

doi:10.1016/j.adt.2006.03.001

Cited by 237 publications

(208 citation statements)

References 36 publications

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“…The theoretical values of Froese-Fischer et al [18], for the levels 3s 2 3p 2 ( 3 P 1,2 ), differ by 10% with the experimental levels [27] as well as other calculations and are closer to our ab initio values (Present a). However, for other levels their results are closer to the calculation of Kohstall et al [13] exept for the levels 3s3p 3 ( 3 S 1 ) and 3s3p 3 ( 1 P 1 ).…”

Section: Present Calculationsupporting

confidence: 83%

“…Other calculations calculations of Kohstall et al [13] and the MCHF results of Froese-Fischer et al [18]. In general, our ab initio calculation, denoted "Present (a)," agree within 3.0% with the corresponding experimental results, except for the levels 3s 2 3p 2 ( 3 P 1,2 and 1 D 2 ) where the differences are within 7-12%.…”

Section: Present Calculationsupporting

confidence: 49%

“…the 3s 2 3p 2 , 3s3p 3 , and 3s 2 3p3d configurations of the silicon-like ion Ca VII, using distorted wave approximation and a five-configuration model. Froese-Fischer et al [18] calculated the relativistic energy levels, lifetimes and transition probabilities for the Na-like to Ar-like sequences, using non-orthogonal spline CI, Multi-Configuration Hartree-Fock (MCHF) and also Multi-Configuration Dirac-Hartree-Fock (MCDHF) methods. Recently, we have carried out calculations of excitation energies, oscillator strengths, transition probabilities and lifetimes for electric-dipole-allowed and inter-combination transitions in silicon-like calcium [19], using configuration-interaction code [20] and the Breit-Pauli Hamiltonian [21].…”

Section: Introductionmentioning

confidence: 99%

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Energy levels, oscillator strengths and lifetimes in Ar V

2009

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We have calculated the excitation energies, oscillator strengths and transition probabilities for electric-dipole-allowed and intercombination transitions among the 46 LS levels belonging to the configurations 3s 2 3p 2 , 3s3p 3 , 3s 2 3p3d, 3p 4 , 3s 2 3p4s, 3s 2 3p4p, 3s3p 2 ( 2 S)4s, 3s3p 2 ( 2 P)4s, 3s3p 2 ( 4 P)4s, 3s3p 2 ( 2 D)4s, 3s 2 3p4d and 3s 2 3p4f of Si-like Argon. These states are represented by extensive Configuration-Interaction (CI) wavefunctions obtained using the CIV3 computer code of Hibbert. From our transition probabilities we have also calculated the radiative lifetimes of singlet and triplet states of Ar V. Our results are compared with other available theoretical calculations and experimental data. To assess the importance of relativistic effects on our calculated values, we have also carried out calculations in the intermediate-coupling scheme using the Breit-Pauli Hamiltonian. Small adjustments to the diagonal elements of the Hamiltonian matrices have been made so that the energy splittings are as close as possible to the experimentally compiled energy values of the National Institute for standards and Technology (NIST). The energy splitting of 85 fine-structure levels, the oscillator strengths and transition probabilities for electric-dipole-allowed and intercombination transitions and the lifetimes of some finestructure levels are presented and compared with available experimental and other theoretical values. In this calculation, we also predict new data for several fine-structure levels where no other theoretical and experimental results are available.

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Section: Present Calculationsupporting

confidence: 83%

Section: Present Calculationsupporting

confidence: 49%

Section: Introductionmentioning

confidence: 99%

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Energy levels, oscillator strengths and lifetimes in Ar V

2009

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“…It is noted that about 96% of transitions are in agreement to within 20% with the data of Storey et al (2000). The data of Froese Fischer et al (2006) show excellent agreement with that of Tayal (2008). The same method (MCHF) was adopted by both, but different CIs were included in each case.…”

Section: Oscillator Strengths and Lifetimessupporting

confidence: 64%

“…The same method (MCHF) was adopted by both, but different CIs were included in each case. When compared with the data from MCHF (Tayal 2008;Froese Fischer et al 2006), the present AS calculations also show good agreement (within 20%) for 87% of transitions analyzed. On the other hand, we also notice that some weak transitions (e.g., gf < 10 −3 ) generally display larger discrepancies.…”

Section: Oscillator Strengths and Lifetimessupporting

confidence: 49%

R -MATRIX ELECTRON-IMPACT EXCITATION OF Fe ¹³⁺ AND ITS APPLICATION TO THE SOFT X-RAY AND EXTREME-ULTRAVIOLET SPECTROSCOPY OF CORONA-LIKE PLASMAS

Liang¹,

Badnell²,

López‐Urrutia³

et al. 2010

ApJS

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Accurate excitation parameters are required to interpret the ultraviolet and X-ray spectra of Fe 13+ . In this work, we use the autostructure code to describe the atomic structure of Fe 13+ . The 197 lowest-lying fine-structure levels of the 3sx 3p y 3d z (x + y + z = 3), 3s 2 4l, and 3s3p4{s, p, and d} configurations are included along with further correlation configurations: 3s3p4f , 3px 3d y 4l (x + y = 2), 3l4l 4l , and 3l3l 5l . The resultant level energies, lifetimes of excited states, and oscillator strengths of transitions between these levels are assessed by comparison with available experimental data and previous calculations. Electron-impact excitation data among these lowestlying levels are generated using the intermediate-coupling frame transformation R-matrix method. We assess the present results by comparisons with laboratory measurement for the excitation to the metastable level 3s 2 3p 2 P o 3/2 and with available close-coupling calculations for other excitations. Using these data and a collisional-radiative model, we have analyzed soft X-ray and extreme-ultraviolet spectra from space satellite observations of a stellar corona and of solar flares, as well as measurements from an electron beam ion trap. We assess the contribution from Fe 13+ emission lines in the solar and Procyon corona observations, and find and identify new lines in the X-ray region observed in the solar and Procyon coronae. The laboratory measurements also confirm that weak lines (218.177 Å and 224.354 Å) of Fe 13+ contribute to the observed intensities in solar observations. The polarization effect due to the directional monoenergetic distribution of the electron energy has been taken into account in comparison with the laboratory measurements. Electron density diagnostics for the astrophysical plasma sources have been performed using the updated data so as to investigate their sensitivity to the atomic data source.

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An accurate analytical formula for the van der Waals potentials of homonuclear rare‐gas dimers with one adjustable parameter

Sheng

Zhu

Zhang

et al. 2018

Int J of Quantum Chemistry

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In the present article, the Tang-Toennies-Yiu (TTY) potential model is modified by introducing one adjustable parameter. Then, the van der Waals potentials of He 2 , Ne 2 , Ar 2 , Kr 2 , and Xe 2 are calculated by this model with the adjustable parameter being determined by the well determined well depth D e of these systems. Based on the derived potentials, the vibrational energy spacings of these systems are also calculated. It is shown that the present derived potentials and vibrational energy spacings agree well with experiment and other theoretical calculations.Finally, the normalization constant A in the asymptotic wave function of rare-gas atoms is estimated. The present derived normalization constant A is very close to the one by calculating the ratio between the Hartree-Fock function and the asymptotic wave function. The results confirm that absorbing the first-order polarization energy into the exchange energy expression is a well approximation for the present systems. K E Y W O R D Sone adjustable parameter, potential model, rare-gas dimers, surface integral method

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Relativistic energy levels, lifetimes, and transition probabilities for the sodium-like to argon-like sequences

Cited by 237 publications

References 36 publications

Energy levels, oscillator strengths and lifetimes in Ar V

Energy levels, oscillator strengths and lifetimes in Ar V

R -MATRIX ELECTRON-IMPACT EXCITATION OF Fe ¹³⁺ AND ITS APPLICATION TO THE SOFT X-RAY AND EXTREME-ULTRAVIOLET SPECTROSCOPY OF CORONA-LIKE PLASMAS

An accurate analytical formula for the van der Waals potentials of homonuclear rare‐gas dimers with one adjustable parameter

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Relativistic energy levels, lifetimes, and transition probabilities for the sodium-like to argon-like sequences

Cited by 237 publications

References 36 publications

Energy levels, oscillator strengths and lifetimes in Ar V

Energy levels, oscillator strengths and lifetimes in Ar V

R -MATRIX ELECTRON-IMPACT EXCITATION OF Fe 13+ AND ITS APPLICATION TO THE SOFT X-RAY AND EXTREME-ULTRAVIOLET SPECTROSCOPY OF CORONA-LIKE PLASMAS

An accurate analytical formula for the van der Waals potentials of homonuclear rare‐gas dimers with one adjustable parameter

Contact Info

Product

Resources

About

R -MATRIX ELECTRON-IMPACT EXCITATION OF Fe ¹³⁺ AND ITS APPLICATION TO THE SOFT X-RAY AND EXTREME-ULTRAVIOLET SPECTROSCOPY OF CORONA-LIKE PLASMAS